Suppose that a population is assumed to satisfy a logistic model of the form Sup

Question

Suppose that a population is assumed to satisfy a logistic model of the form

  
Suppose further that the data collected for this population is

Suppose that a population is assumed to satisfy a logistic model of the form Pn+1 = L(Pn) = Pn(a - bPn). Suppose further that the data collected for this population is P0 = 1.3, p1 = 2.6, P2 = 3.9, P3 = 3.9 Find values of a and b that fit this data as well as possible. a = b= Use these values to predict the next two population sizes P4 = P5 = Find all equilibria for this logistic model. (P1e

Explanation / Answer

a=2.5

b=0.384615

P(4)=3.9

P(5)=3.9

P(1e)=0

P(2e)=3.9

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